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SECONDARY MATH II // MODULE 3 SOLVING QUADRATICS & OTHER EQUATIONS – 3.6 Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org 3.6 Need help? Visit www.rsgsupport.org REA DY Topic: Finding x-intercepts for linear equations 1. Find the x-intercept of each equation below. Write your answer as an ordered pair. Consider how the format of the given equation either facilitates or inhibits your work. a. 3! + 4! = 12 b. ! = 5! 3 c. ! 5 = 4( ! + 1) d. ! = 4! + 1 e. ! 6 = 2 (! + 7) f. 5! 2! = 10 2. Which of the linear equation formats above facilitates your work in finding x-intercepts? Why? 3. Using the same equations from question 1, find the y-intercepts. Write your answers as ordered pairs a. 3! + 4! = 12 b. ! = 5! 3 c. ! 5 = 4( ! + 1) d. ! = 4! + 1 e. ! 6 = 2 (! + 7) f. 5! 2! = 10 4. Which of the formats above facilitate finding the y-intercept? Why? READY, SET, GO! Name Period Date 41

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Page 1: READY, SET, GO!€¦ · Which of the linear equation formats above facilitates your work in finding x-intercepts? Why? 3. Using the same equations from question 1, find the y-intercepts

SECONDARY MATH II // MODULE 3

SOLVING QUADRATICS & OTHER EQUATIONS – 3.6

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.6

Needhelp?Visitwww.rsgsupport.org

REA DY Topic:Findingx-interceptsforlinearequations1.Findthex-interceptofeachequationbelow.Writeyouranswerasanorderedpair.Considerhowtheformatofthegivenequationeitherfacilitatesorinhibitsyourwork.a.3! + 4! = 12 b.! = 5! − 3 c.! – 5 = −4( ! + 1)

d.! = − 4! + 1 e.! – 6 = 2 (! + 7) f.5! – 2! = 10

2.Whichofthelinearequationformatsabovefacilitatesyourworkinfindingx-intercepts?Why?

3.Usingthesameequationsfromquestion1,findthey-intercepts.Writeyouranswersasorderedpairs

a.3! + 4! = 12 b.! = 5! − 3 c.! – 5 = −4( ! + 1)

d.! = − 4! + 1 e.! – 6 = 2 (! + 7) f.5! – 2! = 10

4.Whichoftheformatsabovefacilitatefindingthey-intercept?Why?

READY, SET, GO! Name PeriodDate

41

Page 2: READY, SET, GO!€¦ · Which of the linear equation formats above facilitates your work in finding x-intercepts? Why? 3. Using the same equations from question 1, find the y-intercepts

SECONDARY MATH II // MODULE 3

SOLVING QUADRATICS & OTHER EQUATIONS – 3.6

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.6

Needhelp?Visitwww.rsgsupport.org

SET Topic:SolveQuadraticEquations,ConnectingQuadraticswithAreaForeachofthegivenquadraticequations,(a)describetherectangletheequationfitswith.(b)

Whatconstraintshavebeenplacedonthedimensionsoftherectangle?

5.!! + 7! – 170 = 0 6.!! + 15! – 16 = 0

7.!! + 2! – 35 = 0 8.!! + 10! – 80 = 0

Solvethequadraticequationsbelow.

9.!! + 7! – 170 = 0 10.!! + 15! – 16 = 0

11.!! + 2! – 35 = 0

12.!! + 10! – 80 = 0

GO Topic:FactoringExpressionsWriteeachoftheexpressionsbelowinfactoredform.

13.!! – ! – 132

14.!! – 5! – 36 15.!! + 5! + 6

16.!! + 13! + 42

17.!! + ! – 56

18.!! – !

19.!! – 8! + 12

20.!! – 10! + 25

21.!! + 5 !

42